Advanced MathEasyCounting x-intercepts of a parabola above the axis
Advanced Math practice question
In the xy-plane, at how many points does the graph of y = x² + 4 cross the x-axis?
Answer: 0
x² is never negative, so x² + 4 is always at least 4 and never 0. The graph never reaches the x-axis.
Common wrong answers
- If you answered 1
- 1 would need the vertex to touch the axis, but the vertex is at (0, 4).
- If you answered 2
- 2 would be right for y = x² − 4, which crosses at x = ±2.
- If you answered 4
- 4 is the y-intercept, not a count of crossings.
More Advanced Math questions
- Easy
If f(x) = 3x − 7, what is the value of f(5)? - Easy
What are the solutions to x² − 9 = 0? - Easy
Which of the following expressions is equivalent to x² + 7x + 12 ? - Easy
The function g is defined by g(x) = x³ + 2x. What is the value of g(−2) ? - Easy
For x > 0, which of the following is equivalent to ∛(x⁵) ? - Easy
The function h is defined by h(x) = (x − 6)(x + 2). What is one value of x for which h(x) = 0 ?
Not affiliated with the College Board. SAT is a trademark of the College Board.